Submission date: 12 April 2011.

Abstract:

We study first-order expansions of the reals which do not define the set of natural numbers. We also show that several stronger notions of tameness are equivalent to each others.

Mathematics Subject Classification: Primary 03C64, Secondary 12J15, 54H05, 28A78

Keywords and phrases:

Full text arXiv 1104.1699: pdf, ps.